Details

Time bar (total: 3.2s)

sample27.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
7.0ms277×body80nan

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0217
1416
2696
3956
41256
51406
61426
71426

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.0b
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
0.0b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
128×times-frac
95×add-sqr-sqrt *-un-lft-identity
67×add-cube-cbrt
16×associate-/r*
14×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
8×div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/l/
1×flip3-- div-sub associate-/r/ flip-- fma-udef
Counts
3 → 142
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
11.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
2.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

series172.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
82.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
52.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

simplify74.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06271691
123791609
250021609

prune354.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.0b
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
0.1b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*l*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
3×expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip-- fma-udef
Counts
3 → 90
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
14.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
9.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series197.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
81.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
78.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0357827
11182752
25001738

prune226.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (/ x (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0)
0.0b
(- (/ x (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))))
0.0b
(/ x (fma (sqrt x) 4.0 (+ x 1.0)))
0.0b
(/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
281×times-frac
241×add-sqr-sqrt
231×*-un-lft-identity
215×add-cube-cbrt
169×prod-diff
33×div-inv
13×fma-neg
12×associate-*l*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1 associate-/r* associate-/l* add-log-exp
4×expm1-log1p-u associate-*l/ log1p-expm1-u
3×associate-*r*
2×cbrt-undiv flip3-- distribute-rgt-out-- frac-2neg div-exp clear-num frac-sub flip-- sub-div
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 298
Calls
4 calls:
61.0ms
(* (- (/ x (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0)
23.0ms
(- (/ x (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))))
2.0ms
(/ x (fma (sqrt x) 4.0 (+ x 1.0)))
2.0ms
(/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))

series434.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(* (- (/ x (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0)
133.0ms
(- (/ x (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))))
90.0ms
(/ x (fma (sqrt x) 4.0 (+ x 1.0)))
65.0ms
(/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))

simplify139.0ms

Algorithm
egg-herbie
Counts
310 → 310
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
09309476
128497110
250016530

prune471.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.4b
(/ (* (- x 1.0) 6.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×times-frac associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u div-exp associate-*l/ log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod fma-udef div-inv associate-/l*
Counts
2 → 35
Calls
2 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
6.0ms
(/ (* (- x 1.0) 6.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series119.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
79.0ms
(/ (* (- x 1.0) 6.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify32.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0230312
1941261
25002253

prune89.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01310
11310

end0.0ms

sample609.0ms

Algorithm
intervals
Results
227.0ms8000×body80valid
207.0ms8377×body80nan